Two parametric bifurcation in LPA model

D 2015

Two parametric bifurcation in LPA model

HAJNOVÁ, Veronika and Lenka PŘIBYLOVÁ

Basic information

Original name

Two parametric bifurcation in LPA model

Name in Czech

Dvouparametrická bifurkace v LPA modelu

Authors

HAJNOVÁ, Veronika (203 Czech Republic, guarantor, belonging to the institution) and Lenka PŘIBYLOVÁ (203 Czech Republic, belonging to the institution)

Edition

Kréta, Řecko, Proceedings of CHAOS 2015 International Conference, p. 325-335, 11 pp. 2015

Publisher

Technical University of Crete

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10102 Applied mathematics

Country of publisher

Greece

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

electronic version available online

References:

URL

RIV identification code

RIV/00216224:14310/15:00108680

Organization unit

Faculty of Science

ISSN

Keywords in English

two parametric bifurcation; LPA model; Tribolium model; strong 1:2 resonance; Chenciner bifurcation

Abstract

V originále

The structured population LPA model describes our beetle population dynamics of four stage populations: eggs, larvae, pupae, and adults with cannibalism between these stages. The case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs. This assumption is necessary to make at least some calculations analytically. It is shown that the behavior can be continued to the generic model with non-zero cannibalistic rate of larvae on eggs. In the model exist both supercritical and subcritical strong 1:2 resonance. The bi- furcation responsible for the change of topological type of the strong 1:2 resonance is study. This bifurcation is accompanied by the origination of the Chenciner bifur- cation. The destabilization of the system is caused by two parametric bifurcation is study together with its biological consequences.

Links

MUNI/A/1234/2015, interní kód MU

Name: Matematické a statistické modelování (Acronym: Matematické a statistické modelování)

Investor: Masaryk University, Category A

Citovat

HAJNOVÁ, Veronika and Lenka PŘIBYLOVÁ. Two parametric bifurcation in LPA model. Online. In Christos H. Skiadas. Proceedings of CHAOS 2015 International Conference. Kréta, Řecko: Technical University of Crete, 2015, p. 325-335. ISSN 2241-0503.

@inproceedings{1358806,
   author = {Hajnová, Veronika and Přibylová, Lenka},
   address = {Kréta, Řecko},
   booktitle = {Proceedings of CHAOS 2015 International Conference},
   editor = {Christos H. Skiadas},
   keywords = {two parametric bifurcation; LPA model; Tribolium model; strong 1:2 resonance; Chenciner bifurcation},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {Kréta, Řecko},
   pages = {325-335},
   publisher = {Technical University of Crete},
   title = {Two parametric bifurcation in LPA model},
   url = {http://www.cmsim.org/chaos2015.html},
   year = {2015}
}

TY  - JOUR
ID  - 1358806
AU  - Hajnová, Veronika - Přibylová, Lenka
PY  - 2015
TI  - Two parametric bifurcation in LPA model
PB  - Technical University of Crete
CY  - Kréta, Řecko
KW  - two parametric bifurcation
KW  - LPA model
KW  - Tribolium model
KW  - strong 1:2 resonance
KW  - Chenciner bifurcation
UR  - http://www.cmsim.org/chaos2015.html
L2  - http://www.cmsim.org/chaos2015.html
N2  - The structured population LPA model describes our beetle population dynamics of four stage populations: eggs, larvae, pupae, and adults with cannibalism between these stages. The case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs. This assumption is necessary to make at least some calculations analytically. It is shown that the behavior can be continued to the generic model with non-zero cannibalistic rate of larvae on eggs. In the model exist both supercritical and subcritical strong 1:2 resonance. The bi- furcation responsible for the change of topological type of the strong 1:2 resonance is study. This bifurcation is accompanied by the origination of the Chenciner bifur- cation. The destabilization of the system is caused by two parametric bifurcation is study together with its biological consequences.
ER  -

HAJNOVÁ, Veronika and Lenka PŘIBYLOVÁ. Two parametric bifurcation in LPA model. Online. In Christos H. Skiadas. \textit{Proceedings of CHAOS 2015 International Conference}. Kréta, Řecko: Technical University of Crete, 2015, p.~325-335. ISSN~2241-0503.

Detailed Information on Publication Record